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Finding the Fourth Proportional to 463.71, 639.74 and 413.22

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Solution

The fourth proportional to 463.71, 639.74 and 413.22 is: 570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.71 : 639.74 = 413.22 : x
  2. Step 2: Convert to fraction form
    463.71/639.74 = 413.22/x
  3. Step 3: Cross multiply
    463.71x = 639.74 × 413.22
  4. Step 4: Simplify right side
    463.71x = 264,351.30
  5. Step 5: Solve for x
    x = 264,351.30/463.71
  6. Step 6: Final answer
    x = 570.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.